The Student Room Group
Uni students - Complete our survey >>
Uni students - Complete our survey >>
Uni students - Complete our survey >>

Mathematical challenge homework - please help

Can anyone please shed some light on these two questions ?

Q1. At noon, the hour and minute hands of a clock point in the same direction. Determine, to the nearest second, the last time before noon that the hour and minute hands point in the same direction.

Also determine, to the nearest second, the last time before noon that the hour and minute hands point in exactly opposite directions.

Explain your reasoning

Q2. A giant timeline is constructed, showing every year from 1AD until 2012. The company which has to make this needs to calculate how many of each digit 0-9 will be required. Assuming that no leading zeros are necessary, how many of each digit will be needed?

Explain your reasoning

TIA
Reply 1
Avatar for msmith2512
msmith2512
1
What are your thoughts so far?
Think of what happens at 12 O'Clock, the minute hand goes rushing away from the hour hand. It will pass the hour hand just after 5 past 1. The Minute hand passes the hour hand 11 times during any 12 hour segment.

You need to divide 12 hours by 11 to find out how long between each pass. Then take that away from 12 O'Clock.

The time line is much more interesting,

Quick Reply

Related discussions

Latest

Trending

Trending

Articles for you